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Finding the Fourth Proportional to 2,514.07, 3,766.20 and 1,645.75

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Solution

The fourth proportional to 2,514.07, 3,766.20 and 1,645.75 is: 2,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.07 : 3,766.20 = 1,645.75 : x
  2. Step 2: Convert to fraction form
    2,514.07/3,766.20 = 1,645.75/x
  3. Step 3: Cross multiply
    2,514.07x = 3,766.20 × 1,645.75
  4. Step 4: Simplify right side
    2,514.07x = 6,198,223.65
  5. Step 5: Solve for x
    x = 6,198,223.65/2,514.07
  6. Step 6: Final answer
    x = 2,465.41

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